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Finding the Fourth Proportional to 33,509.54, 50,264.70 and 8,549.54

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Solution

The fourth proportional to 33,509.54, 50,264.70 and 8,549.54 is: 12,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,509.54 : 50,264.70 = 8,549.54 : x
  2. Step 2: Convert to fraction form
    33,509.54/50,264.70 = 8,549.54/x
  3. Step 3: Cross multiply
    33,509.54x = 50,264.70 × 8,549.54
  4. Step 4: Simplify right side
    33,509.54x = 429,740,063.24
  5. Step 5: Solve for x
    x = 429,740,063.24/33,509.54
  6. Step 6: Final answer
    x = 12,824.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.